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1105242408 = 23346127961
BaseRepresentation
bin100000111100000…
…1010100100101000
32212000201010120000
41001320022210220
54230420224113
6301401103000
736250256034
oct10170124450
92760633500
101105242408
11517975a86
1226a187a60
13147c97bba
14a6b051c4
156706e373
hex41e0a928

1105242408 has 80 divisors (see below), whose sum is σ = 3146563860. Its totient is φ = 362361600.

The previous prime is 1105242401. The next prime is 1105242409. The reversal of 1105242408 is 8042425011.

1105242408 is a `hidden beast` number, since 1 + 10 + 5 + 242 + 408 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 902521764 + 202720644 = 30042^2 + 14238^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1105242401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25548 + ... + 53508.

Almost surely, 21105242408 is an apocalyptic number.

1105242408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1105242408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573281930).

1105242408 is an abundant number, since it is smaller than the sum of its proper divisors (2041321452).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1105242408 is a wasteful number, since it uses less digits than its factorization.

1105242408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28040 (or 28027 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 1105242408 is about 33245.1862380105. The cubic root of 1105242408 is about 1033.9174061408.

Adding to 1105242408 its reverse (8042425011), we get a palindrome (9147667419).

The spelling of 1105242408 in words is "one billion, one hundred five million, two hundred forty-two thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 81 108 122 162 183 216 244 324 366 488 549 648 732 1098 1464 1647 2196 3294 4392 4941 6588 9882 13176 19764 27961 39528 55922 83883 111844 167766 223688 251649 335532 503298 671064 754947 1006596 1509894 1705621 2013192 2264841 3019788 3411242 4529682 5116863 6039576 6822484 9059364 10233726 13644968 15350589 18118728 20467452 30701178 40934904 46051767 61402356 92103534 122804712 138155301 184207068 276310602 368414136 552621204 1105242408